In this study, a theoretical scenario has been used to calculate the electronic current in sensitizer N3 molecule contact to TiO2 semiconductor for electrons in functional solar cells. It is known to play an important role on the compute the eficiency of solar cell. Some parameters of electronic current such as the transition energy, driving force energy, barrier height coupling overlapping values are determined. Transition energy is a necessary parameter to calculate the electronic current in solar cell with using wide polarity solvents Acetic acid, 2-Methoxyethanol, 1-Butanol, Methyl alcohol, chloroform, N,N-Dimethylacetamide and Ethyl alcohol via the quantum donor-acceptor system. Here, we show the results of transition energy can be varied by varied the polarity of solvents due to dielectric constant and refractive index. However, the transition energy of N3/TiO2 system has slightly increasing with increasing dielectric constant and decrease refractive index. In general, the results of electronic current decreased with increased driving force as results to decrease chemical potential of N3 dye. The N3/ZnO device is shown higher current (3.247 to10.46) × 106 with Acetic acid and reach minimum with Methyl alcohol in range (1.689 to 5.443)× 106 when the driving energy minimum ΔE0 = 0.35 eV. (5.225 to 16.837) × 104 with 1-Butanol and reach minimum in range (0.952 to3.070 ) × 104 with chloroform while for drive energy (0.55 eV) the current decrease and reach maximum (8.528 to27.481) × 102 with Methyl alcoholsolvent and reach minimum(0.176 to 0.569 ) with chloroform solvents. Consequently,the TiO2 contact with N3 is given accept current results in room temperature with Acetic acid solvent in low drive energy and with 1-Butanol and Methyl alcoholsolvents at large drive energy.